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<meta property="og:description" content="To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius R. The roadbed forms an angle \alpha with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity v?">
<title>To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius R. The roadbed forms an angle \alpha with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity v?</title>
$1.3.29.$ To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius $R$. The roadbed forms an angle $\alpha$ with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity $v$?
<p> Let $ a_{\tau} = 0 $, then $ a_{n} = \frac{v^2}{R}$, where $ v $ is the horizontal component of the velocity directed perpendicular to the axis of rotation. </p>
<p> Then the required acceleration will be equal to: </p>
<p class="exp">
$$ a = a_n $$
</p>
<p class="exp">
$$\fbox{$ a = \frac{v^2}{R}\cdot\cos^2 \alpha $}$$
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
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<meta name="description" content="To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius R. The roadbed forms an angle \alpha with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity v?">
<meta name="description" content="To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius R. The roadbed forms an angle \alpha with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity v?">
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<meta property="og:description" content="To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius R. The roadbed forms an angle \alpha with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity v?">
<meta property="og:description" content="To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius R. The roadbed forms an angle \alpha with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity v?">
<title>To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius R. The roadbed forms an angle \alpha with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity v?</title>
<title>To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius R. The roadbed forms an angle \alpha with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity v?</title>
$1.3.29.$ To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius $R$. The roadbed forms an angle $\alpha$ with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity $v$?
$1.3.29.$ To save space, the entrance to one of the highest bridges in Japan is arranged in the form of a spiral line that wraps around a cylinder of radius $R$. The roadbed forms an angle $\alpha$ with the horizontal plane. What is the acceleration of a car moving along it at a constant modulo velocity $v$?
<p> Let $ a_{\tau} = 0 $, then $ a_{n} = \frac{v^2}{R}$, where $ v $ is the horizontal component of the velocity directed perpendicular to the axis of rotation. </p>
<p> Let $ a_{\tau} = 0 $, then $ a_{n} = \frac{v^2}{R}$, where $ v $ is the horizontal component of the velocity directed perpendicular to the axis of rotation. </p>
<p> Then the required acceleration will be equal to: </p>
<p> Then the required acceleration will be equal to: </p>
<p class="exp">
<p class="exp">
$$ a = a_n $$
$$ a = a_n $$
</p>
</p>
<p class="exp">
<p class="exp">
$$\fbox{$ a = \frac{v^2}{R}\cdot\cos^2 \alpha $}$$
$$\fbox{$ a = \frac{v^2}{R}\cdot\cos^2 \alpha $}$$
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
